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1 Fig. S1 CASSCF (13,10) active space orbitals with Ru-Ru distance of 2.4 Å. Occupation numbers are on the left and energies in Hartrees are on the right of each orbital. The δ orbital is also included here, even though it was not included in the active space since its occupation number was found to stay very close to 2.0.
2 Fig. S2 The reaction coordinates of 1a-Ru 2 N (left) and 1a-PdRuN (right). For TS1, 2, TS2, and 3 energies of 1b-Ru 2 N (left) and 1b-PdRuN (right) are presented relative to 1. The red dotted lines are uncorrected energies. The black dotted lines are energies for 1b complexes that take into account Van der Waals force differences relative to 1b, compared to Van der Waals forces differences of the full reaction coordinates. Fig. S3 This figure corresponds to the top half of Figure 5 and shows both doublet (black) and quartet (red) reaction coordinates. The energies in ΔG (kj/mol) are presented at the top.
3 Fig. S4 A representation of how the orbital diagrams were obtained. At the left are unrestricted Kohn- Sham orbitals from the final single point DFT calculations. Fig. S5 This figure is an extension of Figure 6 and includes the quartet orbital diagram for the dimetallic complexes. The boxed name designates the ground state, which is clarified in the text and happens only here for M = Zr (as well as 1b-Mo 2 N)
4 Fig. S6 This figure is an extension of Figure 6 and includes 3b diagrams for M = Zr, Mo, Ru, Pd and mononuclear complex 3d. Fig. S7 A representative δ* orbital (from 3b-Ru 2 N) of product complex 3 that is raised in energy relative to reactant nitrido complex due an antibonding π-type interaction of the amide N after it has inserted into the phenyl ring C H bond. This orbital ordering change is seen at the right of this figure, which is taken from Figure 9A.
5 XYZ files of optimized structures from DFT-BP/def2-tzvp on metals and reaction atoms (C,N,H); def2- sv(p) on the rest. 2 1a-Ru 2 N Ru Ru N N N N N N N N N C H C C H C H C H C H C H C C H C H C H C H C H C C C H H H C C C C C C H
6 H H C C C H H H C C C H H H C C C H H H C C C H H H C C C C C C H H H C C C H H H C C C H H H C C C H H H C C C
7 H H H TS1a-Ru 2 N Ru Ru N N N N N N N N N C H C C H C H C H C H C H C C H C H C H C H C H C C C H H H C C C C C C H H H C C
8 C H H H C C C H H H C C C H H H C C C H H H C C C C C C H H H C C C H H H C C C H H H C C C H H H C C C H H H a-Ru 2 N
9 Ru Ru N N N N N N N N N C H C C H C H C H C H C H C C H C H C H C H C H C C C H H H C C C C C C H H H C C C H H H
10 C C C H H H C C C H H H C C C H H H C C C C C C H H H C C C H H H C C C H H H C C C H H H C C C H H H TS2a-Ru 2 N Ru Ru N N
11 N N N N N N N C H C C H C H C H C H C H C C H C H C H C H C H C C C H H H C C C C C C H H H C C C H H H C C C H
12 H H C C C H H H C C C H H H C C C C C C H H H C C C H H H C C C H H H C C C H H H C C C H H H a-Ru 2 N Ru Ru N N N N N N
13 N N N C H C C H C H C H C H C H C C H C H C H C H C H C C C H H H C C C C C C H H H C C C H H H C C C H H H C C
14 C H H H C C C H H H C C C C C C H H H C C C H H H C C C H H H C C C H H H C C C H H H a-PdRuN Ru Pd N N N N N N N N N C
15 H C C H C H C H C H C H C C H C H C H C H C H C C C H H H C C C C C C H H H C C C H H H C C C H H H C C C H H H
16 C C C H H H C C C C C C H H H C C C H H H C C C H H H C C C H H H C C C H H H TS1a-PdRuN Ru Pd N N N N N N N N N C H C C H
17 C H C H C H C H C C H C H C H C H C H C C C H H H C C C C C C H H H C C C H H H C C C H H H C C C H H H C C C H
18 H H C C C C C C H H H C C C H H H C C C H H H C C C H H H C C C H H H a-PdRuN Ru Pd N N N N N N N N N C H C C H C H C H
19 C H C H C C H C H C H C H C H C C C H H H C C C C C C H H H C C C H H H C C C H H H C C C H H H C C C H H H C C
20 C C C H H H C H H H C C C H H H C C C H H H C C C H H H C C C TS2a-PdRuN Ru Pd N N N N N N N N N C H C C H C H C H C H
21 C H C C H C H C H C H C H C C C H H H C C C C C C H H H C C C H H H C C C H H H C C C H H H C C C H H H C C C C
22 C C H H H C C C H H H C C C H H H C C C H H H C C C H H H a-PdRuN Ru Pd N N N N N N N N N C H C C H C H C H C H C H C C
23 H C H C H C H C H C C C H H H C C C C C C H H H C C C H H H C C C H H H C C C H H H C C C H H H C C C C C C H H
24 H C C C H H H C C C H H H C C C H H H C C C H H H b-Ru 2 N Ru Ru N N N N N N N N N C H H H C C C H H H C H H C H C H C H
25 C H C H H H H TS1b-Ru 2 N Ru Ru N N N N N N N N N C H H H C C C H H H C H H C H C H C H C H C H H H H b-Ru 2 N Ru Ru N N N N N N N N
26 N C H H H C C C H H H C H H C H C H C H C H C H H H H TS2b-Ru 2 N Ru Ru N N N N N N N N N C H H H C C C H H H C H H C H C H
27 C H C H C H H H H b-Ru 2 N Ru Ru N N N N N N N N N C H H H C C C H H H C H H C H C H C H C H C H H H H b-ZrRuN Ru Zr N C H N N N
28 N N N N N C H H H C C C H H H C H H C H C H C H C H H H H TS1b-ZrRuN Ru Zr N C H N N N N N N N N C H H H C C C H H H C H H
29 C H C H C H C H H H H b-ZrRuN Ru Zr N C H N N N N N N N N C H H H C C C H H H C H H C H C H C H C H H H H TS2b-ZrRuN Ru Zr N C H N
30 N N N N N N N C H H H C C C H H H C H H C H C H C H C H H H H b-ZrRuN Ru Zr N C H N N N N N N N N C H H H C C C H H H C
31 H H C H C H C H C H H H H b-MoRuN Ru Mo N C H N N N N N N N N C H H H C C C H H H C H H C H C H C H C H H H H TS1b-MoRuN Ru Mo N C
32 H N N N N N N N N C H H H C C C H H H C H H C H C H C H C H H H H b-MoRuN Ru Mo N C H N N N N N N N N C H H H C C C H H
33 H C H H C H C H C H C H H H H TS2b-MoRuN Ru Mo N C H N N N N N N N N C H H H C C C H H H C H H C H C H C H C H H H H b-MoRuN Ru Mo
34 N C H N N N N N N N N C H H H C C C H H H C H H C H C H C H C H H H H b-PdRuN Ru Pd N C H N N N N N N N N C H H H C C C
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